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301412304431 = 7229429749363
BaseRepresentation
bin1000110001011011001…
…00101100011000101111
31001210222221102112012122
410120231210230120233
514414243022220211
6350244503423155
730530164213100
oct4305544543057
91053887375178
10301412304431
1110691242a547
124a4ba454abb
13225665c7ac4
14108349383a7
157c916846db
hex462d92c62f

301412304431 has 24 divisors (see below), whose sum is σ = 362804667120. Its totient is φ = 249381562752.

The previous prime is 301412304317. The next prime is 301412304499. The reversal of 301412304431 is 134403214103.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-301412304431 is a prime.

It is a super-2 number, since 2×3014123044312 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 301412304431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301412304131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6081356 + ... + 6130718.

It is an arithmetic number, because the mean of its divisors is an integer number (15116861130).

Almost surely, 2301412304431 is an apocalyptic number.

301412304431 is a deficient number, since it is larger than the sum of its proper divisors (61392362689).

301412304431 is a wasteful number, since it uses less digits than its factorization.

301412304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53703 (or 53696 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 301412304431 its reverse (134403214103), we get a palindrome (435815518534).

The spelling of 301412304431 in words is "three hundred one billion, four hundred twelve million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 7 29 49 203 1421 4297 30079 49363 124613 210553 345541 872291 1431527 2418787 6106037 10020689 70144823 212112811 1484789677 6151271519 10393527739 43058900633 301412304431